Prime p₀= 2609043421261694069 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 76 2 46 2 28 2 52 2 46 2 (?)
a_n: 0 2 42 44 120 122 168 170 198 200 252 254 300 302
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 302
Found by: JayPi
db: batch=82, k=14, 40 76 46 28 52 46

TPT(14)	2609041047947903579	0 2 48 50 138 140 150 152 288 290 390 392 462 464	-2373313790490
STPT(10)	2609041444353089651	0 2 6 8 48 50 90 92 96 98	-1976908604418
STPT(10)	2609041933993373687	0 2 12 14 72 74 132 134 144 146	-1487268320382
STPT(12)	2609042553372721379	0 2 12 14 42 44 138 140 168 170 180 182	-867888972690
SPT(16)	2609042780747015747	0 36 60 80 96 102 120 140 162 182 200 206 222 242 266 302	-640514678322
SPT(16)	2609043037388032241	0 68 78 110 122 150 162 222 236 296 308 336 348 380 390 458	-383873661828
SPT(16)	2609043548850387637	0 10 16 42 102 132 150 156 190 196 214 244 304 330 336 346	127588693568
SPT(16)	2609044393363009333	0 18 54 58 130 180 186 196 228 238 244 294 366 370 406 424	972101315264
SPT(16)	2609044438037986909	0 34 70 78 94 102 108 148 174 214 220 228 244 252 288 322	1016776292840
STPT(10)	2609044494270554411	0 2 30 32 78 80 126 128 156 158	1073008860342
TPT(14)	2609044721633673641	0 2 6 8 48 50 66 68 138 140 216 218 258 260	1300371979572